Functional analytic issues in Z ₂ⁿ-geometry
- Autores: Andrew James Bruce, Norbert Poncin
- Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 60, Nº. 2, 2019, págs. 611-636
- Idioma: inglés
- DOI: 10.33044/revuma.v60n2a21
- Enlaces
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Resumen
We show that the function sheaf of a Z₂ⁿ- manifold is a nuclear Fr´echet sheaf of Z₂ⁿ- graded - Z₂ⁿ commutative associative unital algebras. Further, we prove that the components of the pullback sheaf morphism of Z₂ⁿ a - morphism are all continuous. These results are essential for the existence of categorical products in the category of Z₂ⁿ -manifolds. All proofs are selfcontained and explicit.
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